Dynamical Behavior of a Stochastic Ratio-Dependent Predator-Prey System

This paper is concerned with a stochastic ratio-dependent predator-prey model with varible coefficients. By the comparison theorem of stochastic equations and the Itô formula, the global existence of a unique positive solution of the ratio-dependent model is obtained. Besides, some results are estab...

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Bibliographic Details
Published in:Journal of applied mathematics 2012-01, Vol.2012 (2012), p.1-17
Main Authors: Wu, Zheng, Wang, Lianglong, Huang, Hao
Format: Article
Language:English
Subjects:
Dynamical systems
Dynamics
Existence theorems
Growth rate
Inequality
Mathematical analysis
Mathematical models
Probability theory
Randomness
Science
Stochasticity
Studies
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Summary:This paper is concerned with a stochastic ratio-dependent predator-prey model with varible coefficients. By the comparison theorem of stochastic equations and the Itô formula, the global existence of a unique positive solution of the ratio-dependent model is obtained. Besides, some results are established such as the stochastically ultimate boundedness and stochastic permanence for this model.
ISSN:1110-757X
1687-0042
DOI:10.1155/2012/857134